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Simplifying (s + 3)(s + -15) = 0 Reorder the terms: (3 + s)(s + -15) = 0 Reorder the terms: (3 + s)(-15 + s) = 0 Multiply (3 + s) * (-15 + s) (3(-15 + s) + s(-15 + s)) = 0 ((-15 * 3 + s * 3) + s(-15 + s)) = 0 ((-45 + 3s) + s(-15 + s)) = 0 (-45 + 3s + (-15 * s + s * s)) = 0 (-45 + 3s + (-15s + s2)) = 0 Combine like terms: 3s + -15s = -12s (-45 + -12s + s2) = 0 Solving -45 + -12s + s2 = 0 Solving for variable 's'. Factor a trinomial. (-3 + -1s)(15 + -1s) = 0Subproblem 1
Set the factor '(-3 + -1s)' equal to zero and attempt to solve: Simplifying -3 + -1s = 0 Solving -3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1s = 0 + 3 -1s = 0 + 3 Combine like terms: 0 + 3 = 3 -1s = 3 Divide each side by '-1'. s = -3 Simplifying s = -3Subproblem 2
Set the factor '(15 + -1s)' equal to zero and attempt to solve: Simplifying 15 + -1s = 0 Solving 15 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1s = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1s = 0 + -15 -1s = 0 + -15 Combine like terms: 0 + -15 = -15 -1s = -15 Divide each side by '-1'. s = 15 Simplifying s = 15Solution
s = {-3, 15}
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